## L63FM Lessons & Blog

### FM Mechanics 1 & 2

 Circular Motion - Horizontal Mark Schemes Elastic Collisions Mark Schemes

### Topic Tests

 Complex Numbers 1 Mark Scheme Solutions Complex Numbers 2 Mark Scheme Solutions Series Mark Scheme Solutions Algebra & Functions Mark Scheme Solutions Matrices Mark Scheme Solutions Proof - Induction Mark Scheme Solutions Vectors Mark Scheme Calculus Mark Scheme Momentum & Impulse Mark Scheme Solutions Work, Energy & Power Mark Scheme Solutions Centres of Mass Mark Scheme Solutions Circular Motion Mark Scheme Missing: Further Kinematics, Elastic Collisions

### Edexcel FP1 2010 - 2016

 Complex Numbers Solutions Matrices Solutions Proof by Induction Solutions Standard Series Solutions

### Vectors Consolidation

Lesson:

Continue working through Exercise 12F

### Vectors - Intersection of Line and Plane

Lesson Objective:

To be able to find the intersection of a line and a plane.

### Vectors

Lesson Objectives:

To be able to:

• Convert between Cartesian and vector forms of line.
• Solve line intersection problems.

### Induction

Lesson Objectives:

To be able to prove by induction:

• Summation results.
• Divisibility results.
• Matrices results.

### Summation of Standard Series and Induction

Lesson Objectives for Week:

To be able to:

• Sum standard series
• Understand the basics of proof by induction.

### Modulus - Argument Form

Lesson Objectives:

To be able to:

• Convert complex numbers between x +yj and modulus-argument form
• Draw the locus of a set of points defined by an argument relationship.

### Complex Numbers - Sets of Points

Lesson Objective:

To be able to represent points of numbers on an Argand diagram when given inequalities such as (z - z1) <= 3

Exercise 2D

### Complex Numbers

Lesson Objective:

To be able to:

• Manipulate complex numbers
• Solve equations by equating Re and Im parts

Exercise 2B

### Introduction to Complex Numbers

Lesson Objectives:

To be able to:

• Add, subtract, multiply and divide complex numbers.
• Recognise z, z*, Re(z), Im(z)
• Represent complex numbers on an Argand diagram.
• Solve any quadratic equation with real coefficients.

### Invariant Points

Lesson Objective:

To be able to find the equation of the line of invariant points for a given transformation matrix.

### Inverse of 3 x 3 Matrix

Lesson Objective:

To be able to calculate the inverse of a 3 x 3  matrix both manually and on a Classwiz calculator.

### Matrices - Inverses

Lesson Objectives:

To be able to:

• Know when a matrix has an inverse.
• Find the inverse of a 2x2 matrix.
• Solve simultaneous linear equations by matrix methods.

### Introduction to Matrices

Lesson Objectives:

To be able to:

• Recognise when matrices can be added, subtracted and multiplied.
• Identify transformation matrices for reflections and rotations.

### Edexcel AS Further Mathematics Specification

AS Further Mathematics Specification

This document determines our work between Sep 17 - May 18.

## L63FM HOMEWORK

### Vectors

Please complete and hand in tomorrow the first two questions from:

http://mei.chosenhill.org/solutions/revision/C4RevisionVectorsQuestions.pdf

### Induction

For Tuesday 10 October please complete:

• Exercise 8b even numbers.
• Exercise 8c  odd numbers.

### Equations and Complex Numbers

For Monday please work through as much as possible of Exercise 2G

### Modulus-Argument Form

Please complete Exercise 2E and Exercise 2F for Monday 2 October.

### Complex Numbers - Sets of Points

Please finish Exercise 2D for tomorrow.

### Complex Numbers

Please finish Exercise 2B for tomorrow Tue 26 September.

### Matrices

Please complete and self mark Exercise 1G on pages 39 and 40.

Also complete the FM Baseline Test and hand in next Monday.